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State-dependent trust region for successive convex programming for autonomous spacecraft 自主航天器连续凸编程的状态相关信任区域
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-04-26 DOI: 10.1007/s42064-024-0200-1
Nicolò Bernardini, Nicola Baresi, Roberto Armellin

Spacecraft trajectory optimization is essential for all the different phases of a space mission, from its launch to end-of-life disposal. Due to the increase in the number of satellites and future space missions beyond our planet, increasing the level of autonomy of spacecraft is a key technical challenge. In this context, traditional trajectory optimization methods, like direct and indirect methods are not suited for autonomous or on-board operations due to the lack of guaranteed convergence or the high demand for computational power. Heuristic control laws represent an alternative in terms of computational power and convergence but they usually result in sub-optimal solutions. Successive convex programming (SCVX) enables to extend the application of convex optimization to non-linear optimal control problems. The definition of a good value of the trust region size plays a key role in the convergence of SCVX algorithms, and there is no systematic procedure to define it. This work presents an improved trust region based on the information given by the nonlinearities of the constraints which is unique for each optimization variable. In addition, differential algebra is adopted to automatize the transcription process required for SCVX algorithms. This new technique is first tested on a simple 2D problem as a benchmark of its performance and then applied to solve complex astrodynamics problems while providing a comparison with indirect, direct, and standard SCVX solutions.

航天器轨迹优化对于空间飞行任务从发射到报废的所有不同阶段都至关重要。由于卫星数量的增加和未来超越地球的太空任务,提高航天器的自主水平是一项关键的技术挑战。在这种情况下,传统的轨迹优化方法,如直接和间接方法,由于无法保证收敛性或对计算能力的高要求,并不适合自主或星载操作。就计算能力和收敛性而言,启发式控制法是一种替代方法,但通常会产生次优解。连续凸编程(SCVX)可以将凸优化的应用扩展到非线性最优控制问题。信任区域大小良好值的定义对 SCVX 算法的收敛性起着关键作用,但目前还没有系统的定义过程。本研究基于约束条件的非线性信息提出了一种改进的信任区域,这种信任区域对于每个优化变量都是唯一的。此外,还采用了微分代数来自动完成 SCVX 算法所需的转录过程。这项新技术首先在一个简单的二维问题上进行了测试,作为其性能的基准,然后应用于解决复杂的天体动力学问题,同时提供了与间接、直接和标准 SCVX 解决方案的比较。
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引用次数: 0
Applications of knot theory to the detection of heteroclinic connections between quasi-periodic orbits 绳结理论在探测准周期轨道间异质连接中的应用
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-04-15 DOI: 10.1007/s42064-024-0201-0
Danny Owen, Nicola Baresi

Heteroclinic connections represent unique opportunities for spacecraft to transfer between isoenergetic libration point orbits for zero deterministic ΔV expenditure. However, methods of detecting them can be limited, typically relying on human-in-the-loop or computationally intensive processes. In this paper we present a rapid and fully systematic method of detecting heteroclinic connections between quasi-periodic invariant tori by exploiting topological invariants found in knot theory. The approach is applied to the Earth–Moon, Sun–Earth, and Jupiter–Ganymede circular restricted three-body problems to demonstrate the robustness of this method in detecting heteroclinic connections between various quasi-periodic orbit families in restricted astrodynamical problems.

异直线连接是航天器在等能天平点轨道之间转移的独特机会,其确定性ΔV 支出为零。然而,探测它们的方法可能很有限,通常依赖于人在回路中或计算密集型过程。在本文中,我们提出了一种快速、完全系统的方法,利用结理论中的拓扑不变性,检测准周期不变环之间的异次元连接。该方法被应用于地月、日地和木星-木卫三环形受限三体问题,以证明该方法在受限天体动力学问题中检测各种准周期轨道族之间的异次元连接时的稳健性。
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引用次数: 0
Precise orbit determination for low Earth orbit satellites using GNSS: Observations, models, and methods 利用全球导航卫星系统精确确定低地球轨道卫星的轨道:观测、模型和方法
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-04-11 DOI: 10.1007/s42064-023-0195-z
Xinyuan Mao, Wenbing Wang, Yang Gao

Spaceborne global navigation satellite system (GNSS) has significantly revolutionized the development of autonomous orbit determination techniques for low Earth orbit satellites for decades. Using a state-of-the-art combination of GNSS observations and satellite dynamics, the absolute orbit determination for a single satellite reached a precision of 1 cm. Relative orbit determination (i.e., precise baseline determination) for the dual satellites reached a precision of 1 mm. This paper reviews the recent advancements in GNSS products, observation processing, satellite gravitational and non-gravitational force modeling, and precise orbit determination methods. These key aspects have increased the precision of the orbit determination to fulfill the requirements of various scientific objectives. Finally, recommendations are made to further investigate multi-GNSS combinations, satellite high-fidelity geometric models, geometric offset calibration, and comprehensive orbit determination strategies for satellite constellations.

几十年来,空间全球导航卫星系统(GNSS)极大地推动了低地球轨道卫星自主轨道测定技术的发展。利用最先进的全球导航卫星系统观测和卫星动力学组合,单颗卫星的绝对轨道测定精度达到了 1 厘米。双卫星的相对轨道测定(即精确基线测定)精度达到了 1 毫米。本文回顾了全球导航卫星系统产品、观测处理、卫星引力和非引力建模以及精确轨道测定方法的最新进展。这些关键方面提高了轨道测定的精度,以满足各种科学目标的要求。最后,提出了进一步研究多全球导航卫星系统组合、卫星高保真几何模型、几何偏移校准和卫星星座综合轨道确定战略的建议。
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引用次数: 0
On-ground validation of orbital GNC: Visual navigation assessment in robotic testbed facility 轨道 GNC 的地面验证:机器人试验台设施中的视觉导航评估
IF 6.5 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-03-20 DOI: 10.1007/s42064-024-0198-4
Vivek Muralidharan, Mohatashem Reyaz Makhdoomi, Augustinas Žinys, Bronislovas Razgus, Marius Klimavičius, Miguel Olivares-Mendez, Carol Martinez

CubeSats have become versatile platforms for various space missions (e.g., on-orbit servicing and debris removal) owing to their low cost and flexibility. Many space tasks involve proximity operations that require precise guidance, navigation, and control (GNC) algorithms. Vision-based navigation is attracting interest for such operations. However, extreme lighting conditions in space challenge optical techniques. The on-ground validation of such navigation systems for orbital GNC becomes crucial to ensure their reliability during space operations. These systems undergo rigorous testing within their anticipated operational parameters, including the exploration of potential edge cases. The ability of GNC algorithms to function effectively under extreme space conditions that exceed anticipated scenarios is crucial, particularly in space missions where the scope of errors is negligible. This paper presents the ground validation of a GNC algorithm designed for autonomous satellite rendezvous by leveraging hardware-in-the-loop experiments. This study focuses on two key areas. First, the rationale underlying the augmentation of the robot workspace (six-degree-of-freedom UR10e robot + linear rail) is investigated to emulate relatively longer trajectories with complete position and orientation states. Second, the control algorithm is assessed in response to uncertain pose observations from a vision-based navigation system. The results indicate increased control costs with uncertain navigation and exemplify the importance of on-ground testing for system validation before launch, particularly in extreme cases that are typically difficult to assess using software-based testing.

立方体卫星由于其低成本和灵活性,已成为各种空间任务(例如在轨服务和碎片清除)的多功能平台。许多太空任务涉及需要精确制导、导航和控制(GNC)算法的近距离操作。基于视觉的导航正在吸引人们对此类操作的兴趣。然而,空间的极端光照条件对光学技术提出了挑战。轨道GNC导航系统的地面验证对于确保其在空间运行中的可靠性至关重要。这些系统在其预期的操作参数范围内进行严格的测试,包括探索潜在的边缘情况。GNC算法在超出预期的极端空间条件下有效运行的能力至关重要,特别是在误差范围可以忽略不计的空间任务中。本文利用硬件在环实验对自主卫星交会GNC算法进行了地面验证。这项研究集中在两个关键领域。首先,研究了增加机器人工作空间(六自由度UR10e机器人+线性轨道)的基本原理,以模拟具有完整位置和姿态状态的相对较长的轨迹。其次,针对视觉导航系统的不确定姿态观测,对控制算法进行了评估。结果表明,不确定的导航会增加控制成本,并举例说明了发射前对系统验证进行地面测试的重要性,特别是在极端情况下,使用基于软件的测试通常难以评估。
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引用次数: 0
The OPS-SAT case: A data-centric competition for onboard satellite image classification OPS-SAT 案例:以数据为中心的机载卫星图像分类竞赛
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-03-16 DOI: 10.1007/s42064-023-0196-y
Gabriele Meoni, Marcus Märtens, Dawa Derksen, Kenneth See, Toby Lightheart, Anthony Sécher, Arnaud Martin, David Rijlaarsdam, Vincenzo Fanizza, Dario Izzo

While novel artificial intelligence and machine learning techniques are evolving and disrupting established terrestrial technologies at an unprecedented speed, their adaptation onboard satellites is seemingly lagging. A major hindrance in this regard is the need for high-quality annotated data for training such systems, which makes the development process of machine learning solutions costly, time-consuming, and inefficient. This paper presents “the OPS-SAT case”, a novel data-centric competition that seeks to address these challenges. The powerful computational capabilities of the European Space Agency’s OPS-SAT satellite are utilized to showcase the design of machine learning systems for space by using only the small amount of available labeled data, relying on the widely adopted and freely available open-source software. The generation of a suitable dataset, design and evaluation of a public data-centric competition, and results of an onboard experimental campaign by using the competition winners’ machine learning model directly on OPS-SAT are detailed. The results indicate that adoption of open standards and deployment of advanced data augmentation techniques can retrieve meaningful onboard results comparatively quickly, simplifying and expediting an otherwise prolonged development period.

新型人工智能和机器学习技术正以前所未有的速度发展并颠覆着既有的地面技术,但它们在卫星上的应用却似乎滞后。这方面的一个主要障碍是需要高质量的注释数据来训练此类系统,这使得机器学习解决方案的开发过程成本高、耗时长、效率低。本文介绍了 "OPS-SAT 案例",这是一个以数据为中心的新型竞赛,旨在应对这些挑战。本文利用欧洲航天局 OPS-SAT 卫星的强大计算能力,展示了如何仅使用少量可用的标注数据,依靠广泛采用和免费提供的开源软件,设计适用于太空的机器学习系统。详细介绍了合适数据集的生成、以公共数据为中心的竞赛的设计和评估,以及直接在 OPS-SAT 上使用竞赛优胜者的机器学习模型进行星载实验活动的结果。结果表明,采用开放标准和部署先进的数据增强技术可以相对较快地获取有意义的星载结果,从而简化和加快原本漫长的开发周期。
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引用次数: 0
Spaceborne and ground-based sensor collaboration: Advancing resident space objects’ orbit determination for space sustainability 空间和地面传感器合作:推进常驻空间物体的轨道确定,促进空间可持续性
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-03-14 DOI: 10.1007/s42064-023-0193-1
Niki Sajjad, Mehran Mirshams, Andreas Makoto Hein

The limited space around the Earth is getting cluttered with leftover fragments from old missions, creating a real challenge. As more satellites are launched, even debris pieces as small as 5 mm must be tracked to avoid collisions. However, it is an arduous and challenging task in space. This paper presents a technical exploration of ground-based and in-orbit space debris tracking and orbit determination methods. It highlights the challenges faced during on-ground and in-orbit demonstrations, identifies current gaps, and proposes solutions following technological advancements, such as low-power pose estimation methods. Owing to the numerous atmospheric barriers to ground-based sensors, this study emphasizes the significance of spaceborne sensors for precise orbit determination, complemented by advanced data processing algorithms and collaborative efforts. The ultimate goal is to create a comprehensive catalog of resident space objects (RSO) around the Earth and promote space environment sustainability. By exploring different methods and finding innovative solutions, this study contributes to the protection of space for future exploration and the creation of a more transparent and precise map of orbital objects.

地球周围有限的空间正在被旧任务遗留下来的碎片所占据,这带来了真正的挑战。随着越来越多的卫星发射升空,即使是小到 5 毫米的碎片也必须进行跟踪,以避免碰撞。然而,这在太空中是一项艰巨而富有挑战性的任务。本文对地基和在轨空间碎片跟踪和轨道确定方法进行了技术探讨。它强调了在地面和在轨演示过程中面临的挑战,找出了当前的差距,并根据技术进步(如低功耗姿态估计方法)提出了解决方案。由于地面传感器面临众多大气障碍,本研究强调了空间传感器在精确轨道确定方面的重要性,并辅之以先进的数据处理算法和协作努力。最终目标是建立一个全面的地球周围常驻空间物体(RSO)目录,促进空间环境的可持续发展。通过探索不同的方法和寻找创新的解决方案,这项研究有助于保护未来探索的空间,并创建一个更加透明和精确的轨道物体地图。
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引用次数: 0
A comparative assessment of gravitational field modeling methods for binary asteroid landing 双小行星着陆引力场建模方法比较评估
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-03-13 DOI: 10.1007/s42064-024-0202-z
Tongge Wen, Xiangyuan Zeng, Ziwen Li, Yang Yu

The tradeoff between accuracy and efficiency in gravitational field modeling for binary asteroid landing is one of the challenges in dynamical analyses. Four representative gravitational modeling methods are employed and compared in this study. These are the sphere–sphere model, ellipsoid–sphere model, inertia integral-polyhedron method, and finite element method. This study considers the differences between these four models, particularly their effects on the landing dynamics of a lander. A framework to simulate the coupled orbit–attitude motion of a lander in a binary system is first established. Numerical simulations are then performed on the natural landings on the second primary of the (66391) Moshup–Squannit system. The results show significant differences in the final landing dispersions, settling time, and sliding distance when applying the simplified models. On the basis of the modeling accuracy and computational efficiency, the finite element method should be chosen for future missions.

双小行星着陆引力场建模的精度和效率之间的权衡是动力学分析的挑战之一。本研究采用了四种具有代表性的重力场建模方法并进行了比较。它们分别是球-球模型、椭球-球模型、惯性积分多面体法和有限元法。本研究考虑了这四种模型之间的差异,特别是它们对着陆器着陆动力学的影响。首先建立了模拟双星系统中着陆器轨道-姿态耦合运动的框架。然后对莫舒普-斯坎尼特(66391)系统第二主星的自然着陆进行了数值模拟。结果表明,在应用简化模型时,最终着陆分散度、沉降时间和滑动距离都有很大差异。根据建模精度和计算效率,未来的飞行任务应选择有限元方法。
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引用次数: 0
Evaluation of E-sail parameters on central spacecraft attitude stability using a high-fidelity rigid-flexible coupling model 利用高保真刚柔耦合模型评估电子风帆参数对中心航天器姿态稳定性的影响
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-03-13 DOI: 10.1007/s42064-023-0190-4
Chonggang Du, Zheng H. Zhu, Changqing Wang, Aijun Li, Tuanjie Li

This study examines the impact of electric solar wind sail (E-sail) parameters on the attitude stability of E-sail’s central spacecraft by using a comprehensive rigid-flexible coupling dynamic model. In this model, the nodal position finite element method is used to model the elastic deformation of the tethers through interconnected two-node tensile elements. The attitude dynamics of the central spacecraft is described using a natural coordinate formulation. The rigid-flexible coupling between the central spacecraft and its flexible tethers is established using Lagrange multipliers. Our research reveals the significant influences of parameters such as tether numbers, tether’s electric potential, and solar wind velocity on attitude stability. Specifically, solar wind fluctuations and the distribution of electric potential on the main tethers considerably affect the attitude stability of the spacecraft. For consistent management, the angular velocities of the spacecraft must remain at target values. Moreover, the attitude stability of a spacecraft has a pronounced dependence on the geometrical configuration of the E-sail, with axisymmetric E-sails proving to be more stable.

本研究通过使用一个综合刚柔耦合动力学模型,研究了电动太阳风帆(E-sail)参数对E-sail中心航天器姿态稳定性的影响。该模型采用节点位置有限元法,通过相互连接的双节点拉伸元素来模拟系绳的弹性变形。中心航天器的姿态动力学采用自然坐标法进行描述。利用拉格朗日乘法器建立了中心航天器与其柔性系绳之间的刚柔耦合。我们的研究揭示了系绳数量、系绳电动势和太阳风速度等参数对姿态稳定性的重要影响。具体来说,太阳风波动和主系绳上的电动势分布对航天器的姿态稳定性有很大影响。为了实现稳定的管理,航天器的角速度必须保持在目标值。此外,航天器的姿态稳定性与电子风帆的几何构造有明显的关系,轴对称电子风帆被证明更加稳定。
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引用次数: 0
Optimization of body configuration and joint-driven attitude stabilization for transformable spacecraft under solar radiation pressure 太阳辐射压力下可变型航天器的机体配置和关节驱动姿态稳定优化
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0167-3
Yuki Kubo, Toshihiro Chujo

The solar sail is one of the most promising space exploration systems due to its theoretically infinite specific impulse achieved through solar radiation pressure (SRP). Recently, researchers have proposed “transformable spacecraft” capable of actively reconfiguring their body configurations using actuatable joints. Transformable spacecraft, if used similarly to solar sails, are expected to significantly enhance orbit and attitude control capabilities owing to their high redundancy in control degrees of freedom. However, controlling them becomes challenging due to their large number of inputs, leading previous researchers to impose strong constraints to limit their potential control capabilities. This study focuses on novel attitude control techniques for transformable spacecraft under SRP. We developed two methods, namely, joint angle optimization to obtain arbitrary SRP force and torque, and momentum damping control driven by joint angle actuation. Our proposed methods are formulated in a general manner and can be applied to any transformable spacecraft comprising front faces that can predominantly receive the SRP on each body. The validity of our proposed method is confirmed through numerical simulations. Our study contributes to making most of the high control redundancy of transformable spacecraft without the need for expendable propellants, thus significantly enhancing the orbit and attitude control capabilities.

太阳帆是最有前途的空间探索系统之一,因为它通过太阳辐射压力(SRP)实现了理论上的无限比冲。最近,研究人员提出了 "可变型航天器 "的建议,这种航天器能够利用可致动关节主动重新配置其主体结构。可变形航天器的使用方法与太阳帆类似,由于其控制自由度的冗余度较高,有望显著增强轨道和姿态控制能力。然而,由于其输入量大,对其进行控制具有挑战性,因此之前的研究人员对其施加了强大的约束,以限制其潜在的控制能力。本研究的重点是 SRP 条件下可变换航天器的新型姿态控制技术。我们开发了两种方法,即通过关节角度优化获得任意 SRP 力和扭矩,以及通过关节角度驱动动量阻尼控制。我们提出的方法是以通用方式制定的,可应用于任何由前端面组成的可变换航天器,这些前端面可以在每个主体上主要接收 SRP。我们提出的方法的有效性通过数值模拟得到了证实。我们的研究有助于充分利用可变换航天器的高控制冗余,而无需消耗推进剂,从而显著提高轨道和姿态控制能力。
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引用次数: 0
Characterization of Gauss–Markov stochastic sequences for mission analysis 用于任务分析的高斯-马尔科夫随机序列的特征描述
IF 2.7 1区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS Pub Date : 2024-02-08 DOI: 10.1007/s42064-023-0183-3
Carmine Giordano

In real scenarios, the spacecraft deviates from the intended paths owing to uncertainties in dynamics, navigation, and command actuation. Accurately quantifying these uncertainties is crucial for assessing the observability, collision risks, and mission viability. This issue is further magnified for CubeSats because they have limited control authority and thus require accurate dispersion estimates to avoid rejecting viable trajectories or selecting unviable ones. Trajectory uncertainties arise from random variables (e.g., measurement errors and drag coefficients) and processes (e.g., solar radiation pressure and low-thrust acceleration). Although random variables generally present minimal computational complexity, handling stochastic processes can be challenging because of their noisy dynamics. Nonetheless, accurately modeling these processes is essential, as they significantly influence the uncertain propagation of space trajectories, and an inadequate representation can result in either underestimation or overestimation of the stochastic characteristics associated with a given trajectory. This study addresses the gap in characterizing process uncertainties, represented as Gauss–Markov processes in mission analysis, by presenting models, evaluating derived quantities, and providing results on the impact of spacecraft trajectories. This study emphasizes the importance of accurately modeling random processes to properly characterize stochastic spacecraft paths.

在真实场景中,由于动力学、导航和指令执行方面的不确定性,航天器会偏离预定路径。准确量化这些不确定性对于评估可观测性、碰撞风险和任务可行性至关重要。由于立方体卫星的控制权限有限,因此需要精确的离散性估计,以避免拒绝可行的轨迹或选择不可行的轨迹,因此这一问题在立方体卫星上被进一步放大。轨迹的不确定性来自随机变量(如测量误差和阻力系数)和过程(如太阳辐射压力和低推力加速度)。虽然随机变量通常带来的计算复杂度最小,但由于其动态变化嘈杂,处理随机过程可能极具挑战性。然而,对这些过程进行精确建模是至关重要的,因为它们会对空间轨迹的不确定性传播产生重大影响,而不适当的表征会导致低估或高估与给定轨迹相关的随机特征。本研究通过提出模型、评估导出量和提供航天器轨迹影响的结果,填补了在飞行任务分析中以高斯-马尔科夫过程表示的过程不确定性特征方面的空白。本研究强调了准确模拟随机过程对正确描述随机航天器轨迹的重要性。
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引用次数: 0
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Astrodynamics
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